509698876806 has 252 divisors, whose sum is σ = 1407395289852. Its totient is φ = 137956624848.

The previous prime is 509698876801. The next prime is 509698876811. The reversal of 509698876806 is 608678896905.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (509698876801) and next prime (509698876811).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509698876801) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 25780681 + ... + 25800443.

Almost surely, 2^509698876806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509698876806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703697644926).

509698876806 is an abundant number, since it is smaller than the sum of its proper divisors (897696413046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509698876806 is a wasteful number, since it uses less digits than its factorization.

509698876806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19835 (or 19794 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 509698876806 in words is "five hundred nine billion, six hundred ninety-eight million, eight hundred seventy-six thousand, eight hundred six".